Condensed Multiplication Table and Properties

Vocabulary flashcards reviewing key multiplication concepts, properties (zero, identity, and commutative properties), and table entries from the condensed multiplication table.

Condensed Multiplication Table (جدول الضرب المختصر)

An abbreviated chart of multiplication facts organized from column $2$ to column $9$, starting each column $n$ at $n \times n$ up to $n \times 9$ to eliminate redundant reversed operations using the commutative property.

Zero Property of Multiplication (الضرب في صفر)

The mathematical rule stating that multiplying any number by zero always equals zero ($\text{any number} \times 0 = 0$), illustrated by the example $7 \times 0 = 0$.

Multiplicative Identity Property (الضرب في واحد)

The mathematical rule stating that multiplying any number by one results in that same number ($\text{any number} \times 1 = \text{the same number}$), illustrated by the example $8 \times 1 = 8$.

Commutative Property of Multiplication (الضرب عملية إبدالية)

The principle stating that changing the order of factors does not change the product, illustrated in the notes by the statement that $2 \times 3$ is the same as $3 \times 2$.

Column 2 Multiplication Entries

The eight facts listed under column $2$: $2 \times 2 = 4$, $2 \times 3 = 6$, $2 \times 4 = 8$, $2 \times 5 = 10$, $2 \times 6 = 12$, $2 \times 7 = 14$, $2 \times 8 = 16$, and $2 \times 9 = 18$.

Column 3 Multiplication Entries

The seven facts listed under column $3$: $3 \times 3 = 9$, $3 \times 4 = 12$, $3 \times 5 = 15$, $3 \times 6 = 18$, $3 \times 7 = 21$, $3 \times 8 = 24$, and $3 \times 9 = 27$.

Column 4 Multiplication Entries

The six facts listed under column $4$: $4 \times 4 = 16$, $4 \times 5 = 20$, $4 \times 6 = 24$, $4 \times 7 = 28$, $4 \times 8 = 32$, and $4 \times 9 = 36$.

Column 5 Multiplication Entries

The five facts listed under column $5$: $5 \times 5 = 25$, $5 \times 6 = 30$, $5 \times 7 = 35$, $5 \times 8 = 40$, and $5 \times 9 = 45$.

Column 6 Multiplication Entries

The four facts listed under column $6$: $6 \times 6 = 36$, $6 \times 7 = 42$, $6 \times 8 = 48$, and $6 \times 9 = 54$.

Column 7 Multiplication Entries

The three facts listed under column $7$: $7 \times 7 = 49$, $7 \times 8 = 56$, and $7 \times 9 = 63$.

Column 8 Multiplication Entries

The two facts listed under column $8$: $8 \times 8 = 64$ and $8 \times 9 = 72$.

Column 9 Multiplication Entry

The single fact listed under column $9$: $9 \times 9 = 81$.